writing loop equation for the top loop we have
18 - 8I1 - 11i2 + 12 = 0
8I1 + 11I2 = 30 ---------(1)
writing loop equation for bottom wire we have
-11I2 + 12 - 36 = 0
I2 = -2.18 A
8I1 + 11*-2.18 = 30
I1 = 6.75 A
from the figure
I1 = I2 + I3
I3 = I1 - I2 = 6.75 - (-2.18) = 8.93 A
b) Va + 18 - 8*6.75 = Vb
Va - Vb = 36 V
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